I love the use of a second (easily available) board for the web layer, but it seems like it's just a disconnected space that plays largely the same, but with different abilities rather than wholy different mechanics?
Like a part of me wonders how it would be if the web board was just a game a chess, and one of the physical unit actions was "hack" which was to make a move in the chess game, and then any move that lets you take an opponent's piece is one that lets you activate a program that affects physical space.
Ambitious idea tho, and clever place to put a split for asymerty!